Solve 30-4(2x-1)<30Rightarrow30

$$30 - 4 ( 2 x - 1 ) < 30 \Rightarrow 30$$

Solve for x

$$x>\frac{1}{2}$$

Solution Steps

Use the distributive property to multiply -4 by 2x-1.

$$30-8x+4<30$$

Add 30 and 4 to get 34.

$$34-8x<30$$

Subtract 34 from both sides.

$$-8x<30-34$$

Subtract 34 from 30 to get -4.

$$-8x<-4$$

Divide both sides by -8. Since -8 is negative, the inequality direction is changed.

$$x>\frac{-4}{-8}$$

Reduce the fraction \frac{-4}{-8} to lowest terms by extracting and canceling out -4.

$$x>\frac{1}{2}$$